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Finding the Third Proportional to 10,504,077,444 and 22,685,297,768

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Solution

The third proportional to 10,504,077,444 and 22,685,297,768 is: 48,992,663,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504,077,444 : 22,685,297,768 = 22,685,297,768 : x
  2. Step 2: Convert to fraction form
    10,504,077,444/22,685,297,768 = 22,685,297,768/x
  3. Step 3: Cross multiply
    10,504,077,444x = 22,685,297,768 × 22,685,297,768
  4. Step 4: Simplify right side
    10,504,077,444x = 514,622,734,822,825,787,392
  5. Step 5: Solve for x
    x = 514,622,734,822,825,787,392/10,504,077,444
  6. Step 6: Final answer
    x = 48,992,663,807.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.